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It is shown that for the conjugation action of the symmetric group Sn, when n = 6 or n ≥ 8, all Sn-irreducibles appear as constituents of a single conjugacy… Click to show full abstract
It is shown that for the conjugation action of the symmetric group Sn, when n = 6 or n ≥ 8, all Sn-irreducibles appear as constituents of a single conjugacy class, namely, one indexed by a partition λ of n with at least two parts, whose parts are all distinct and taken from the set of odd primes and 1. A simple characterisation of conjugacy classes containing all irreducibles is proved.
Keywords:
containing irreducibles;
conjugacy classes;
conjugacy;
classes containing
Journal Title: Israel Journal of Mathematics
Year Published: 2018
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Journal Title: Israel Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!